The goal is to use inductive reasoning to make conjectures. Some of the time you will you will be given a series of numbers and asked to find the next few numbers in the series, then explain how you found them. The other times you will be given a sentence with some information, based on that sentence you will have to write a conjecture.
Inductive Reasoning Coming to a conclusion or making a prediction based on a pattern you observe.
Conjecture A conclusion reached by using inductive reasoning or to come to a conclusion based on incomplete information.
Example:
"Every time you eat shrimp, you get cramps. Therefore you get cramps because you eat shrimp."
Example:
"Midbsdkhail is from Russia and Russians are tall, therefore Midbsdkhail is tall."
Example:
"Bob plays soccer, therefore bob likes soccer."
Example:
"The women in the neighboring apartment has a shrill voice can hear it from outside, therefore the women in the neighboring apartment is loud."
1)1,3,5,7... Find the next three numbers in the series then explain how you found them. 2)-1,2,0,3,1... Find the next three numbers in the series then explain how you found them. 3)1/2,1/4,1/8,1/16... Find the next three numbers in the series then explain how you found them. 4)-1,2,-4,8... Find the next three numbers in the series then explain how you found them.
What can you conclude:
1) The boys basketball team is short, I am on the boys basketball team.
2)Honors kids are smart, James is not in honors classes.
3)If we get over 8 in. of snow school is closed, last night we received 6in.
http://www.macintodd.net/wp-content/uploads/2009/08/geometry-11-notes.pdf
The goal is to use inductive reasoning to make conjectures. Some of the time you will you will be given a series of numbers and asked to find the next few numbers in the series, then explain how you found them. The other times you will be given a sentence with some information, based on that sentence you will have to write a conjecture.
Inductive Reasoning
Coming to a conclusion or making a prediction based
on a pattern you observe.
Conjecture
A conclusion reached by using inductive reasoning or
to come to a conclusion based on incomplete information.
Example:
"Every time you eat shrimp, you get cramps. Therefore you get cramps because you eat shrimp."
Example:
"Midbsdkhail is from Russia and Russians are tall, therefore Midbsdkhail is tall."
Example:
"Bob plays soccer, therefore bob likes soccer."
Example:
"The women in the neighboring apartment has a shrill voice can hear it from outside, therefore the women in the neighboring apartment is loud."
Example:
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
Example:
Example:
Example:
Practice:
1)1,3,5,7...
Find the next three numbers in the series then explain how you found them.
2)-1,2,0,3,1...
Find the next three numbers in the series then explain how you found them.
3)1/2,1/4,1/8,1/16...
Find the next three numbers in the series then explain how you found them.
4)-1,2,-4,8...
Find the next three numbers in the series then explain how you found them.
What can you conclude:
1) The boys basketball team is short, I am on the boys basketball team.
2)Honors kids are smart, James is not in honors classes.
3)If we get over 8 in. of snow school is closed, last night we received 6in.